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Finding the Third Proportional to 9,981 and 16,635

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Solution

The third proportional to 9,981 and 16,635 is: 27,725

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981 : 16,635 = 16,635 : x
  2. Step 2: Convert to fraction form
    9,981/16,635 = 16,635/x
  3. Step 3: Cross multiply
    9,981x = 16,635 × 16,635
  4. Step 4: Simplify right side
    9,981x = 276,723,225
  5. Step 5: Solve for x
    x = 276,723,225/9,981
  6. Step 6: Final answer
    x = 27,725

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.